On the normalisation of a priority vector associated with a reciprocal relation

被引:21
作者
Fedrizzi, Michele [1 ]
Brunelli, Matteo [2 ,3 ]
机构
[1] Univ Trent, Dept Comp & Management Sci, Trento, Italy
[2] Turku Ctr Comp Sci, Turku, Finland
[3] Abo Akad Univ, IAMSR, Turku, Finland
关键词
reciprocal relation; fuzzy preference relation; priority vector; normalisation; FUZZY PREFERENCE-RELATION; GROUP DECISION-MAKING; PROGRAMMING-MODELS; WEIGHTS; FORMATS;
D O I
10.1080/03081070902753606
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we show that the widely used normalisation constraint Sigma(n)(i=1) w(i) = 1 does not apply to the priority vectors associated with reciprocal relations, also called fuzzy preference relations, whenever additive transitivity is involved. We show that misleading applications of this type of normalisation may lead to unsatisfactory results and we give some examples from the literature. Then, we propose an alternative normalisation procedure which is compatible with additive transitivity and leads to better results.
引用
收藏
页码:579 / 586
页数:8
相关论文
共 17 条
[1]  
[Anonymous], 1990, MULTIPERSON DECISION, DOI DOI 10.1007/978-94-009-2109-2_20
[2]   Cyclic evaluation of transitivity of reciprocal relations [J].
De Baets, B ;
De Meyer, H ;
De Schuymer, B ;
Jenei, S .
SOCIAL CHOICE AND WELFARE, 2006, 26 (02) :217-238
[3]  
Fedrizzi M., 1995, P IFSA WORLD C SAO P, VII, P245
[4]  
Lee HS, 2008, LECT NOTES ARTIF INT, V5178, P974
[5]  
Lee HS, 2008, LECT NOTES ARTIF INT, V5178, P980
[6]  
Lee HS, 2006, LECT NOTES ARTIF INT, V4252, P910
[7]  
Lee HS, 2006, LECT NOTES COMPUT SC, V4223, P1035
[8]  
Saaty L., 1980, ANAL HIERARCHY PROCE
[9]   FUZZY PREFERENCE ORDERINGS IN GROUP DECISION-MAKING [J].
TANINO, T .
FUZZY SETS AND SYSTEMS, 1984, 12 (02) :117-131
[10]   Group decision-making procedure based on incomplete reciprocal relations [J].
Xu, Zeshui ;
Chen, Jian .
SOFT COMPUTING, 2008, 12 (06) :515-521